My first thought echoes many others, in that I recall SR800s being really good basses back in the 1990s. Weren't they a staple instrument among working/touring musicians? If you feel viscerally that this is your "forever bass" for its playability and construction, then I would invest in upgrading the electronics.
I remember back in 2010 I was looking for a backup bass in the $500 range and encountered a preowned LTD HTB-600 for $200 or $250. It was sitting in the corner of a music shop, covered in dust, and with chipping paint. So I figured, "Ehh, why not?" and picked it up. It had quality components and was a nicer instrument worth more than its asking price. It just needed some love. So I bought it, had a luthier/airbrush artist swap out the electronics (active EMGs for passive Duncans), and give it a sick paint job. The whole thing exceeded my $500 budget, but not exorbitantly so, and I got something special that I'll keep forever.
Despite having had some nicer instruments pass through my hands, that LTD has become one of my mains. I've toured up and down the east coast with it. I've thought about retiring it, but it doesn't want to retire. While it's not my favorite bass, it's easily one of the best sounding basses I've ever owned (and now the best looking). I plan to take that bass with me to the afterlife.
I currently own only 2 basses (that LTD and a Carvin SB5000) and though I love that SB (it is an infinitely superior bass with great tone, slick playability, and is my go-to/workhorse since I primarily play 5-string)... I still prefer the tone of my LTD.
Moral of the story is that there's no "shame" (for lack of a better word) in hot rodding a less expensive bass, especially if it's a steakhouse bass you got at preowned at a White Castle price.