diff --git a/src/k_kart.c b/src/k_kart.c
index 18ef5ac90..ab260e6f9 100644
--- a/src/k_kart.c
+++ b/src/k_kart.c
@@ -1657,9 +1657,9 @@ static void K_UpdateDraft(player_t *player)
 	UINT8 i;
 
 	// Distance you have to be to draft. If you're still accelerating, then this distance is lessened.
-	// This distance biases toward low weight! (min weight gets 3584 units, max weight gets 2560 units)
+	// This distance biases toward low weight! (min weight gets 4096 units, max weight gets 3072 units)
 	// This distance is also scaled based on game speed.
-	draftdistance = (2560 + (128 * (9 - player->kartweight))) * player->mo->scale;
+	draftdistance = (3072 + (128 * (9 - player->kartweight))) * player->mo->scale;
 	if (player->speed < topspd)
 		draftdistance = FixedMul(draftdistance, FixedDiv(player->speed, topspd));
 	draftdistance = FixedMul(draftdistance, K_GetKartGameSpeedScalar(gamespeed));
diff --git a/src/p_mobj.c b/src/p_mobj.c
index 7ffc8355f..e5f8bc65f 100644
--- a/src/p_mobj.c
+++ b/src/p_mobj.c
@@ -6702,7 +6702,7 @@ void P_MobjThinker(mobj_t *mobj)
 
 					if ((G_RaceGametype() || mobj->target->player->kartstuff[k_bumper] <= 0)
 #if 1 // Set to 0 to test without needing to host
-						|| ((mobj->target->player == &players[displayplayers[0]]) || P_IsLocalPlayer(mobj->target->player))
+						|| (P_IsDisplayPlayer(mobj->target->player))
 #endif
 						)
 						mobj->flags2 |= MF2_DONTDRAW;
diff --git a/src/p_spec.c b/src/p_spec.c
index 8f43231db..a0f967e4f 100644
--- a/src/p_spec.c
+++ b/src/p_spec.c
@@ -4242,7 +4242,7 @@ DoneSection2:
 						player->starpostangle = player->starpostx = player->starposty = player->starpostz = player->kartstuff[k_starpostflip] = 0;
 					}
 
-					if (P_IsLocalPlayer(player))
+					if (P_IsDisplayPlayer(player))
 					{
 						if (player->laps == (UINT8)(cv_numlaps.value - 1))
 							S_StartSound(NULL, sfx_s3k68);
@@ -4272,7 +4272,7 @@ DoneSection2:
 
 				if (player->laps >= (unsigned)cv_numlaps.value)
 				{
-					if (P_IsLocalPlayer(player))
+					if (P_IsDisplayPlayer(player))
 						S_StartSound(NULL, sfx_s3k6a);
 					else if (player->kartstuff[k_position] == 1)
 						S_StartSound(NULL, sfx_s253);
diff --git a/src/p_user.c b/src/p_user.c
index d25095f0c..f87a79649 100644
--- a/src/p_user.c
+++ b/src/p_user.c
@@ -1674,7 +1674,7 @@ void P_DoPlayerExit(player_t *player)
 
 		if (cv_kartvoices.value)
 		{
-			if (P_IsLocalPlayer(player))
+			if (P_IsDisplayPlayer(player))
 			{
 				sfxenum_t sfx_id;
 				if (K_IsPlayerLosing(player))