I have a compared the Egnater Bassman and Randall Tweed side by side. It is really really hard to tell the difference on these modules, the randall is pretty much the same as the more expensive egnater.
other modules, I am sure there are differences perhaps. But, randall modules are cheaper, even after having a pro mod them such as Dave Friedman. Egnater's setup is different, dual modules. you can get single channel modules, but in my opinion , they are not cheap. Randall has more variety, specially in the high gain area. I know all egnater owners love their EG5, but some randall owners who also have an eg5 list some randall high gain mods over it in preference. So some of this comes down to personal taste.
all of this is from egnaters concept anyway. I have had no issues what so ever with my randall RM4 and power amp, and modules, some sound really really good, specially after some modding.
speakers, cab, these will all effect sound as well. Just giving a different opinion. Egnater probally is built a little better, but if time is an issue, I don't think Randall is a bad apple by any means.
here is a side by side comparison of the Egnater Bassman vs Randall Tweed, just noodling around, virtually identical in sound imo. So I am a little leary when people say egnater blows randall away you know. I am sure some of the Egnater modules are plenty sweet, but some of the randalls are too. if you are not happy, have Dave Friedman or Pete Turley mod them.
quick clip - Egnater then Randall