Today's CRT-based TVs aren't exactly small either (referring to the size of the cabinets and their weight).
I have two sets here in my apartment, an RCA (Thomson) 19" built in 1999 which weighs the proverbial ton, even though it is solid state, and a Zenith SMS1917SG 19" built in 1995 (also SS and remote) which is also quite heavy. Given that these sets are both solid state, the only tube in them being the CRT, I would think that tube is what weighs the most--the larger the screen, the heavier the CRT (the 25" tube in your RCA must weigh at least 25 pounds alone). By contrast, I am sure the new flat-panel HD sets are a fraction of the weight of even the newest of today's CRT sets (although, again, the 27" flat-screen sets weigh a lot, the reason being the picture tube; I hate to think what a 32- or 36" CRT set must weigh--probably 200 pounds or more). My RCA set is on a wood (oak) utility cart on hidden casters (boy, does it look nice--it gives the illusion of the cabinet sitting flat on the floor) in the main part of my apartment, which is where it will stay--I won't move the set myself (off the cart) unless I have to; the same goes for the Zenith, which is in my bedroom on my dresser. The latter doesn't get much use (except to back up the living-room set), but the few times I've had to drag it out to the front...oh, brother. Zenith's newest CRT based consoles are no doubt heavy as well (even with the Gold Star guts), but I understand the wood used in those cabinets isn't real mahogany, oak, maple, etc.; rather, it is cheap wood with the "finish" pasted over it. Zenith used the same technique, called "photo finish", on many of its large table-model radios of the 1930s, so this dodge is anything but new.
BTW, I saw the cart your 25" RCA now sits on. It reminded me of a similar cart I found in the trash some 20 years ago; I used it with two Zenith color portable TVs I had between 1982 and 1999.
It doesn't really matter, IMO, what make of set the stand was made for (RCA, Zenith, etc.), as long as the TV fits on it and the stand will bear its weight without caving in. Obviously, your RCA set fits that stand perfectly.