diff --git a/src/g_shared/a_artifacts.cpp b/src/g_shared/a_artifacts.cpp
index 48214c4c7..6afae78f8 100644
--- a/src/g_shared/a_artifacts.cpp
+++ b/src/g_shared/a_artifacts.cpp
@@ -1364,9 +1364,15 @@ void APowerTargeter::EndEffect ()
 	Super::EndEffect();
 	if (Owner != nullptr && Owner->player != nullptr)
 	{
-		Owner->player->GetPSprite(PSP_TARGETCENTER)->SetState(nullptr);
-		Owner->player->GetPSprite(PSP_TARGETLEFT)->SetState(nullptr);
-		Owner->player->GetPSprite(PSP_TARGETRIGHT)->SetState(nullptr);
+		// Calling GetPSprite here could crash if we're creating a new game.
+		// This is because P_SetupLevel nulls the player's mo before destroying
+		// every DThinker which in turn ends up calling this.
+		// However P_SetupLevel is only called after G_NewInit which calls
+		// every player's dtor which destroys all their psprites.
+		DPSprite *pspr;
+		if ((pspr = Owner->player->FindPSprite(PSP_TARGETCENTER)) != nullptr) pspr->SetState(nullptr);
+		if ((pspr = Owner->player->FindPSprite(PSP_TARGETLEFT)) != nullptr) pspr->SetState(nullptr);
+		if ((pspr = Owner->player->FindPSprite(PSP_TARGETRIGHT)) != nullptr) pspr->SetState(nullptr);
 	}
 }
 
diff --git a/src/p_pspr.cpp b/src/p_pspr.cpp
index 26567e61d..b9ba6b932 100644
--- a/src/p_pspr.cpp
+++ b/src/p_pspr.cpp
@@ -177,14 +177,27 @@ DPSprite *player_t::FindPSprite(int layer)
 
 DPSprite *player_t::GetPSprite(PSPLayers layer)
 {
-	assert(ReadyWeapon != nullptr);
+	AInventory *oldcaller = nullptr;
+	AInventory *newcaller = nullptr;
+
+	if (layer >= PSP_TARGETCENTER)
+	{
+		if (mo != nullptr)
+		{
+			newcaller = mo->FindInventory(RUNTIME_CLASS(APowerTargeter), true);
+		}
+	}
+	else
+	{
+		newcaller = ReadyWeapon;
+	}
+
+	assert(newcaller != nullptr);
 
-	AInventory *oldcaller;
 	DPSprite *pspr = FindPSprite(layer);
 	if (pspr == nullptr)
 	{
-		pspr = new DPSprite(this, ReadyWeapon, layer);
-		oldcaller = nullptr;
+		pspr = new DPSprite(this, newcaller, layer);
 	}
 	else
 	{
@@ -193,18 +206,13 @@ DPSprite *player_t::GetPSprite(PSPLayers layer)
 
 	// Always update the caller here in case we switched weapon
 	// or if the layer was being used by an inventory item before.
-	pspr->Caller = ReadyWeapon;
+	pspr->Caller = newcaller;
 
-	if (ReadyWeapon != oldcaller)
+	if (newcaller != oldcaller)
 	{ // Only change the flags if this layer was created now or if we updated the caller.
 		if (layer != PSP_FLASH)
 		{ // Only the flash layer should follow the weapon.
 			pspr->Flags &= ~PSPF_ADDWEAPON;
-
-			if (layer != PSP_WEAPON)
-			{ // [RH] Don't bob the targeter.
-				pspr->Flags &= ~PSPF_ADDBOB;
-			}
 		}
 	}
 
@@ -279,7 +287,7 @@ void DPSprite::SetState(FState *newstate, bool pending)
 		Tics = newstate->GetTics(); // could be 0
 
 		if (Caller->IsKindOf(RUNTIME_CLASS(AWeapon)))
-		{ // The targeter layers are affected by this too.
+		{
 			if (sv_fastweapons == 2 && ID == PSP_WEAPON)
 				Tics = newstate->ActionFunc == nullptr ? 0 : 1;
 			else if (sv_fastweapons == 3)
@@ -1350,7 +1358,6 @@ void DPSprite::Tick()
 			Tics--;
 
 			// [BC] Apply double firing speed.
-			// This is applied to the targeter layers too.
 			if (Caller->IsKindOf(RUNTIME_CLASS(AWeapon)) && Tics && Owner->cheats & CF_DOUBLEFIRINGSPEED)
 				Tics--;
 
diff --git a/src/p_user.cpp b/src/p_user.cpp
index cba8782f1..2ca7434d5 100644
--- a/src/p_user.cpp
+++ b/src/p_user.cpp
@@ -3090,7 +3090,9 @@ void player_t::Serialize (FArchive &arc)
 				<< sx << sy
 				<< sprite << frame;
 
-			if (state != nullptr && ReadyWeapon != nullptr)
+			if (state != nullptr &&
+			   ((layer < PSP_TARGETCENTER && ReadyWeapon != nullptr) ||
+			   (layer >= PSP_TARGETCENTER && mo->FindInventory(RUNTIME_CLASS(APowerTargeter), true))))
 			{
 				DPSprite *pspr;
 				pspr = GetPSprite(PSPLayers(layer));
diff --git a/src/r_things.cpp b/src/r_things.cpp
index 75630e859..caca6a11c 100644
--- a/src/r_things.cpp
+++ b/src/r_things.cpp
@@ -1319,8 +1319,7 @@ void R_DrawPSprite(DPSprite *pspr, AActor *owner, float bobx, float boby, double
 	if (tex->UseType == FTexture::TEX_Null)
 		return;
 
-	// The targeters aren't weapons.
-	isweapon = (pspr->GetID() < PSP_TARGETCENTER && pspr->GetCaller()->IsKindOf(RUNTIME_CLASS(AWeapon)));
+	isweapon = pspr->GetCaller()->IsKindOf(RUNTIME_CLASS(AWeapon));
 
 	if (pspr->firstTic)
 	{ // Can't interpolate the first tic.