Absolutely not; it destroys the value of the tool.
Bull^%$t.
Or at least to the point that it only matters if you buy and sell a lot of tools and to those that collect them normally.
And mainly, it only destroys the value if you decide to sell it. And then it depends upon the buyer as some of those who "USE" their tools to make a living could care less vs. a the high volume of tool polishers on GJ who want virgin tools. (Which really, calling it what it is, is the OCD control freaks who have issues far beyond getting fussy about tool markings

. C'mon ...be honest with yoursef ).
If a used tool is in good or great condition and only has an engraved initial or two, I could care less. That's one more ID mark to let me know it's mine.
I use what I buy . Many here do not.
If used in a big shop or in light or med. mfgr where turnover is high and theft is possible, engraving gives you a second line of defense of tool security. BTDT.
It's kinda like tattoos.
Some love them, some hate them and some are indifferent.
I'm happy to lightly tag a high priced tool to ensure it will stay with me for a lifetime.
As for marking them, Blue Point air powered rotary engraver here.