display settings > opengl rendering > texture rendering > change anisotropic? (spellcheck please?) filtering to none or 2x and you'll get a MASSIVE drop in the lag those things generate.
man, GZDoom has a LOT of settings to browse through and tinker with. o_O
also, i went through one sideways just now to check a suspicion and i was right! another part of the lag problem is the fact that those are actually around 30 animated textures all in a row. on their own, they wouldn't be a problem but like with many animated "things", when stacked like that, they generate FAR more lag than usual.
maybe reduce the number of those in each door a bit? say...10 or so less than the current number? the pseudo-3D effect is nice, sure, but is it worth the massive cost on resource usage?
that also comes into play during any boss battles where the doors to the chosen "arena" gets blocked off by them. it's the same exact issue there. and in some cases, like episode 1 map 2, you can have 2-3+ of these doors on-screen which just multiplies the resulting resource usage and multiplies the resulting lag.
another idea i had was to maybe make a slightly edited...."lite" version of the mod? just changing certain things like the issue i spoke of above and making them less intensive for those of us with weaker PCs. i'm not a modder though so i dunno how much work that would be. i'll leave it up to the creator of this impressive and large mod to decide what to do and just hope things work out in the future.

edit (7/23/2017): ok, so i now know why map 15's frame rate drops to what i assume is single digit frame rates. there are 2 large portals on the map and by large portals i mean the hub gates on a "WTF were you thinking putting so many of these animated textures in one place?!" scale.
the end of the map has you and that seargant guy each going through one such portal which means 2 of these areas on the map. each area is a large cave room with a F ton of those textures across every inch of the room.
even with a good gaming pc this setup would probably lead to some heavy frame rate issues. for me, single digit frame rate that is so slow i can only just BARELY move at all and turning the camera has to be done extremely slowly so it doesn't jerk around.
whereas the hub portals each have around 3 or so of these textures layered. the "portals" on this map likely have hundreds if not more layered in 2 areas of the map. reducing the anisotropic rendering to 2x does absolutely NOTHING to help on that map as the sheer number of those textures all running and being animated at the same time simply cripples performance on the map. and if i come across any other maps using those textures at such a massive scale or greater then that's when this mod will become entirely unplayable for me because i had to noclip my way to the end of map 15 due to that insane amount of lag.
i can't think of a single reason why you would need to be using constantly animated textures in this way beyond making things look fancy. and this isn't remotely worth the frame rate drops and resource usage. if i come across an even WORSE setup later...my laptop might just give and cause the program to crash. i was worried it might when i saw that room.
please, PLEASE make a lite version of this mod or something with the number of animated textures in areas like that cut down drastically. map 15 is just BARELY playable and the hub zone lags bad...increasingly so with each newly unlocked episode.