I don't think I've ever heard of textures crashing any of these games.
It is possible to crash CoAS with larger size texture files, although in this not likely in this case.
When I started updating graphic files for my GOF Eras installation, I tried testing to see how far I could take the size of texture files using an external tga to tag.tx converter program (not CoverterTX used by Akella).
Since we know the limits of ConverterTX and the base game use a maximum of 2048X2048, I upped the ante and went all the way to 32768X32768 down to 4096X4096, and tried different file sets.
Anything above 8192X8192, CoAS did not like well and choked, although you CAN use 8192X8192 and 4096X4096 tile sets easily.
Three current negatives however:
1) Ship sailing performance really starts to suffer with increasing texture set file size above 4096, and gets worse with large battles even on modern computers.
2) Overall file size. Every time you double the resolution of the base texture file and still keep MIPS in place for proper scaling effectively doubles file size based on TGA compression. Basically, you would end up with a game directory of over 100 GB. If every texture file was replaced at this same level of quality it might end up being 250+ GB or more.
3) The game engine cannot use all the free ram you might have available anyway, a 4GB patch on the engine.exe causes instability, and eventually the game will crash due to memory leakage when graphic files are swapped out.
Hence, the reason I stuck with the 2048X2048 file sets, which everyone can use, still has very good enhanced quality and reduces download size.