From the previous log it is mentioned that only Mapper 0 and 4 games can be put into these consoles. 

However, some of the games in the 400-in-1 console contains Mapper 4 that are converted from Mapper 2 such as Jackal. Those games are running without CHR-ROM and only CHR-RAM instead.

Earlier on, when such games are inserted into the console with the custom menu, it gives a black screen, or garbage output. 

Then, checking how did the game selection in 400-in-1's original menu works, it is noticed that there is a specific sequence, and a specific range of number that gives these converted games a correct tile output.

I have rearranged the loading of these OneBus registers ($401x) following the ones in that original menu:

jumpToProgramInRAM:
    lda _zR410A
    sta $410A
    lda _zR410B
    sta $410B
    lda _zR4100
    sta $4100
    lda _zR4105
    sta $4105
    lda _zR4106
    sta $4106
    lda _zR4107
    sta $4107
    lda _zR4108
    sta $4108
    lda _zR4109
    sta $4109

 Since these games does not run on CHR-ROM, the configuration of the OneBus registers at $201x are not involved. However, the bottom nibble of the $4100 must be between 0x04 and 0x0F for these games to work I'm not entirely sure why, and it works on both the emulator, and on the handheld itself.

Well, here it is - at least it loaded correctly! :D

Note: I have tested other Mapper 0 games with only CHR-RAM. It doesn't work at all on both the EmuVT and the handheld too.