Of course it is true.
The surprise roll was basically just a standard thing for all characters, except for those classes which had a specific benefit (rangers and monks primarily), apart from houserules. However, if the PLAYERS said "I watch the curtains carefully, to ensure that we can't get surprised by someone behind them", then you didn't get surprised.
I've never heard of nor experienced search checks done in the way you suggest. PLAYERS said "I search under the bed", "I look around the edge of the doorjamb for a secret switch" etc. etc.
Maybe you didn't do this, but this was the way *everyone* that I ever saw or knew played the game back in the 70s and 80s.
Fact. It relied upon player skill. There were no dice that you could just roll to get an answer, you had to be skilled at describing what you wanted and the DM adjudicated on that.
You might not like it, but that is the way that it was for most tasks in the pre-skill days. I find your attempt to compare that with the 3e skill system laughable.
In 3e, your rogue with 5 ranks in search will NEVER be able to find the DC25 secret door, and will ALWAYS be able to find the DC 24 secret door, with no role-playing and precious little thought involved. In 1e and earlier it depended upon your skill as a player ("I knock for hollow spaces in the upper section of the wall" / DM: it sounds hollow / "I can't be bothered with searching for secret catches, break out the pickaxes lads!")
Sure, someone can flavour-text around the die rolls in 3e, but it doesn't *depend* upon their descriptions, it depends upon a die roll and descriptions are just pasted on afterwards.
Cheers