Hi George,
Welcome and not to worry! There are all types here.
I can only speak for myself, my TR4 was far from stock when I got it over 25 years ago. It was painted orange, sporting 14" x 7" chrome wheels and, I just recently found out, the SUs on it came off a Datsun 240Z. It's even further from "showroom" condition now, but I think a little more "correctly modified"!
The whole point of these cars is to enjoy them and that means different things to different people. Some are determined to keep their cars as original as possible, others like to fiddle and tweak.
Personally, I very much appreciate originality, but there is a limit. I've seen old cars that are totally original and pristine, but no one can drive them because the all the rubber is too old, the brakes are questionable and the seats might crack! In fact, I've seen show cars that have no grease in the fittings, to avoid any squeezing out and "ruining" the car! To my mind, cars were built to drive, so it's easy to overimprove and get ridiculous about originality!
Also, these cars were for all practical purposes hand built and there is a lot of variation in them, anyway. That's even more true of the earlier models, perhaps a little less true of the TR6 and later.
I do prefer to stick with "period correct" modifications, but will stray from that if it's a serious safety issue.
For example, my car is getting engine compartment vents. This was done on TR4s by the factory, during their racing years. But, I personally don't like the look of the vents they used: triangular cutouts just behind the front wheel arch. Instead, I'll do it my own way with a series of 6 or 8 louvers in the fender up toward the rear of the front fender, near the waistline. Louvers have been common mods on cars since the 1950s, so the purists can just cover their eyes around my car. On a more safety related vein, I use a TR4/250/early-6 steering wheel, since I've broken two of the original banjo types that "should" be on my car.
By the way, assuming the monniker you have chosen is your car's commission number, it's a very early one, built in 1961, even though it sounds to have been registered in 1962. The same was true of my car, CT17602L, registered in 1964 but actually built in 1962. You are probably aware, the short bulge was used on the earliest TR4s. And, it probably also had 0 degree castor front suspension with TR3 upper A-arms and ball joints, which someone swapped out either trying to improve the car or when parts were harder to find.
I can sympathize with the latter. I remember trying to find parts in 1979 after an uninsured drunk plowed into the back end of my car. Performance parts were even harder to get. Back in those pre-Internet days, there were few foreign car specialists, let alone good parts sources and qualified repair shops, where I lived in Colorado! My "best" parts supplier find took a full year to track down a manifold for the Webers DCOEs now on the car.
I say enjoy your car! It looks great and, you know, if you were to have the windshield frame painted to match the car, no one would ever know it came off a TR6 (I think the frames are identical other than the paint and the trim/top attachment).
Oh, and the release button on the fuel cap should be on the side toward the driver, to be "correct" ;-)
Alan