Will SwapBin (in SNES Rom Utility) work with m27c4001?

I am planning to burn a few ROM's I am working on to cartridges and I happen to have a bunch of 4001's laying around.

My question is that if I alter the ROM image with SwapBin in the SNES Rom Utility, will it work an m27c4001 (I am only working with 4 Mbit/ .5 MByte ROM images or less)?

I am not completely clear on how the chips work, though I imagine the A pins are the addresses and the D or Q pins are data there. The only difference I am seeing between the M27C4001 and the M27C801 is the A19 pin which I imagine allows it to access double the data. Siudym lists the chips as being the "same" pinout
http://nintendoallstars.w.interia.pl/romlab/memdiff.gif

Every address pin doubles the rom size. If A19 = 1mbyte, then A20 would be 2mbyte, A21 would be 4mbyte, etc...
I never tried swap bin on smaller than 1mbyte chips but I suppose it could work.

In theory at least, a 4mbit (or smaller) ROM is never going to address the space that a 801 chip could access right?

Some of these are relatively simple like, 2mbit ROM's but only 2 of the banks are being used and barely.

Just wanted to say that I did, in fact get a cartridge to work with the Swap Bin method and a 4001 chip.
Took a bit of cleaning after the soldering but I did get it to work.
(in case it matters for some reason, it is a lo rom game (originally gradius iii) on a SHVC-1A0N-01 board