While I can't say this is related to the described issue, you don't want to use DVI for the vast majority of DOS games.

They were designed to run at a 70Hz refresh rate, while DVI output on most early-2000 GPUs only works at 60Hz. This can lead to stuttering and slowdowns, possibly other issues as well. The only exception to this are SVGA games like WarCraft 2 and Transport Tycoon, as they run at 640x480 @ 60Hz by default, which will work fine over DVI.

Additionally, on most graphics cards from that time, DVI introduces some extra blurring when a game isn't running at the monitor's native resolution. In comparison, VGA output usually ends up looking much sharper under those conditions.

I agree with this but why is Epic Pinball crashing the system. In such a case, shouldn't the monitor simply display some message like Out of Range and the game should continue to run? Is it possible that after connecting the monitor to the DVI, gpu uses different bios settings?

I did tests in Quake 1 and it turns out that Radeon 9550 and 9600 do not display 360x240, 360x480 and 320x480 resolutions if the monitor is connected to the DVI output. Unlike Epic Pinball, Quake did not hang the system, but the monitor showed information about the lack of signal.

It depends on a video BIOS but Radeon cards I have had access to always try to scale the image to whatever monitor tells is its native resolution over DVI, and usually it is 60Hz and that's part of the problem since the regular DOS video modes are all 70Hz.

Well, now we just have to wait for someone to modify the bios of Radeon 9550/9600 to prevent this problem from occurring.