Well, I did like the cover art of TRo '58 and that Bushwacker.
As for coloration, It's safe to say that my coloration of BattleTech really did start with playing the board game. Once I learned that certain things had to be reconceptualized - in highschool, no less - it sent me on the road to madness that is reconciling game performance with reality.
Two key things have colored my perspective of BT and how I think things really operate in that universe. It makes me feel a little disappointed when I find depictions that don't really follow that thought.
Part one - Lasers don't miss. Throw that against the fact that failure rates in the game reach almost impossible at times, and range being one of the reasons, that means - to me - that the term 'miss' used in the rules is a misnomer. There were interesting things in the rules which actually backed this idea up for me, and I still cling to it, and hope future rules sets would do a little bit more to really emphasize this aspect of a potential scifi future.
Part two - it's in the future, and the Mech, along with the laser, become the main weapon of the futuristic army, along with all kinds of supplementary weapons, like micro missile swarms. With that in mind, the high failure rates for the game mean that it's a high-tech defense issue, and not a tech degradation issue which some people have used.
Part three - the novels are wonderfully nebulous about fight details, leaving room for (mis)interpretation of character insights, which could be dodgy. But, one thing about the novels I enjoyed is that it seemed most writers were cognizant of game mechanics, and you could map out a fight on record sheets, if not necessarily a map. This reinforced in me the notion that the game was a strong indicator of how things worked on the futuristic Battlefield of the BTU.
And, it stuck, no matter what people may say or bring up to suggest it was 'representative' and that I should divorce the concept of Game and Fiction. I've seen what that does for other settings, and the huge aesthetic problems which have come up in other franchises for such a divorcing of material.
But, aside from minor details, that's how my introduction to the BTu colored my view of how things work.