Do 45 rpm 12" LPs really sound better than 33 rpm?

Yes, we’re

But this is a NEW trend to offer re-issues on double LPs recorded on 45s. First of all those records are re-issues, not the originals.

The original LP is on 33 1/3 rpm

I can’t remember any LPs from the golden era pressed that way and they are all fine, some of them are better than those modern 45 rpm re-issues on LPs.

What is definitelly better is a classic 12’inch singles with one track per side, from the golden era. From the fresh mastertape to the stamper, deep grooves. Those singles are fantastic in terms of fidelity on regular vinyl (not 180g).

When modern labels like Analogue Productions working on a re-issues it’s all about restoration, since the tapes are old, so they want to make the best possible to re-issue 40 years old music today. In this case they need all those vignin vinyl formula, 45 rpm pressing, 200g vinyl, half speed mastering etc. The price for their re-issues also very high.

P.S. I have thousands of rare original 45s and LPs, i don’t care about re-issues much, but i have some of those from Analogue Productions. Most of the modern re-issues on 7 inch 45s are crap comapred to the originals. 

I think it's not correct to say that 45 rpm is better, it depends on each particular record and the source (digital or analog master, cutting engineer etc). 

I have Eva Cassidy's Nightbird on 33 and 45 rpm.. I did a comparison with 4 of my friends some time back.. all of us agreed the 45 rpm had more details and a bit more dynamic.. However 1 of my friend said he preferred the 33 rpm version .. as he felt it sounds more natural.. So all things being equal... most will prefer the 45 version .. but there will be some who prefer the 33 rpm version.

I’ve got about 100 of the 12" cut at 45 speed and a dozen or so of the single sided Classic Records 45 speed box sets. They pretty much all sound quite good and it would seem to my personal experience on my table/arm/cart to be more dynamic, detailed, and power of scale.
Some pressings from the era that many of them were originally cut and pressed make near mint copies almost non existent and the better condition ones are very, very pricey. Still a gamble on the records not being played properly by the original owner with a stack of quarters taped to the arm and what resembles a rusty nail for a stylus. Till its played to be graded, its just an old record . Even though I took advantage of the late 80’s purge everyone else was doing with vinyl and have many very good originals from the era, I am very appreciative that some are taking and making such great efforts to get the best tapes they can and pressing the best records they can with those tapes, now.
I think, generally, people fuss  too much , and never see the positives of a lot of things lately.... This site has a few guys who post nothing but negative topic views about anything it seems they cant get for nothing. (not a reference to the OP here either, the usual suspects know whom I refer to ).
I’d rather have vinyl pressed this decade and the next and with choices of which speed is a bonus, vs. no options for much of the older recordings while the tapes are still usable. Forced to digital renderings from the golden years of analog would be more to complain about, IMO.....

For what it is worth: I have a number of 12” - 45 RPM “Radio station promotional” disks provided to the stations to support introduction of a new release, along with many of the same recorded pressings in standard 33 RPM.  The 45’s were some of the first pressings of the new material.  Most of these have the exact same recording on both sides.  No question to my ears that the 45’s are superior:  more detail, more dynamic.  Aside from the hassle of a more rapid record change (single cut), IMHO they are much better.

@newf27 definitely, those 12 inch 45 rpm promotional singles from the golden era of analog are the best, made for radiostations and deejays, and you’re right that these are the first that comes from the stampers. In my opinion they are unbeatable by any 180g or even 200g reissues on the modern days.