@Vince
I would be hesitant to use a cap with a higher ESR in a switch mode application.
I looked at the schematic to try to see if it was seeing switched / HF voltage or not, but I find the schematic a bit confusing, too complicated for me.... I am not too sure I understand what that particular cap does exactly...
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Higher ESR means more internal heat, and with the second tier brand of Yageo, I wouldn't use it... Keep them for a less critical application.
PCB.
Yes, though to be fair and pragmatic, given how little use the scope will get considering its hobby use and it being only one out of many scopes... it could be argued that the cap will die of old age, just sitting, long before it dies of drying out because of its ESR. It kinda mitigates the issue I think....
In any case as I said, I used that cap when I recapped my 2467B, so if really it dies fast.... well I will know about it and report...
You can always add higher voltages to your search parameters
Yes I thought of that shortly before you mentionned it. Indeed 350V is oddball in today's world, whereas 400 and 450V are now extremely common given that they get used all the time in just about every SMPS under the sun. Sadly even when searchin for 400/450 caps, I didn't get taht much more choice, to my dismay, and no low ESR ones. Bummer. I am starting to think somehow the manufacturing of the low ESR one requires some special something that's being hit by the shortage of everything we still suffer from ?!

Any problem with using Digikey or Mouser? (I can't remember if you mentioned anything before?) They have free shipping over a certain shopping cart value, I've never had a problem with them.
Oh no you triggered me, bad boy !

For the 12,845th time.... MouserKey are fantastic, the wides choice and lowest prices, win-win.... IF you live in the US. If not, as you know first hand, you have to order at least 50 Euros worth of good to get the free shipping and the customs BS be taken care of by them transparently.
So again... same answer as always : I am not wealthy enough to order 50 Euros worth of stuff every time I need a 50 cent cap or this or that.
I don't do enough electroniking either to be able to "pad" the order with other stuff that I might be needing for other projects.
In France / EU, Farnell is the only major retailer, with a decent choice and decent prices, though much less choice and more expensive than MouserKey. That's why it's my first call always. Then next in line is TME, but less choice and bit higher prices than Farnell. Then there is Radiospare but not much choice on their consumer-only website, and high prices. I have therefore not ordered anything there for a long time. One day I probably won't even be able to order from Farnell since they don't sell to consumers anymore. They don't take new customers at least. Luckily 20 years ago they still sold to poor souls like me, so they were kind enough to maintain my account. But I am sure one day they will kick me out and I will be in the shit big time.
I've compared the four old 3.3uF 350V from my Tek scopes, with some replacements of 3.3uF 400V.
Originals from four scopes, I have two Nippon Chemicon at 3.54uF 6.6Ω, 3.5uF 4.6Ω (leaking from one lead) and two Nichicon 3.73uF 3.3Ω, 3.4uF 3.3Ω.
Wow ! I am amazed... you kept all the old caps from recapping your 4 24XX ?!

Thanks for the measurements... 100% in line with what I measured on my own original cap then. It adds up...
Replacements are Nichicon UPW series 3.3uF 400V (chosen as the extra would be more useful in higher voltage ratings, for other TE), I have six left with a 2012 date code. They measure at 3.02uF, 3.04uf x2, 3uF & 3.08uF all at 3.0Ω and the last is 3.14uF 2.8Ω.
P.S. it looks like the higher voltage UPW caps are a poor seller, Nichicon is discontinuing all rated from 160V to 450V.
No luck with Farnell and Reichelt. Will try to get a web browser working with TME (in a VM maybe) so I can check there as well.
If I fail to find any seller with OK stuff, would you be willing to part with a couple of your 12 caps ? Should cost me very little if sent in a regular / inconspicuous mail envelope, and no need to bother with customs forms / BS I think.