People out there: would this prompt you to try to get to the bottom of the issue, or is this within your tolerable range?
I don't know anything about strobe dots or phone apps, but my opinion is that you and the people you've taken them to have done all you reasonably can with these vintage turntables. If they have audible speed issues that keep you from enjoying your records, I would move on to something else.
Earlier you had mentioned Fluance's 0.2% wow and flutter specification as being "bad." I haven't heard a Fluance, but I have owned a Stanton STR8-80 and currently have an AT-LP120XUSB that have that same w&f spec, and I've never heard any speed issues with either. A friend of mine has the Music Hall USB-1, with a w&f spec of 0.25%, and we heard no issues during the in-store demo or at any time in my friend's home during the nearly six years he's enjoyed it. One professional reviewer of the Fluance RT81 was specifically asked in the comments section about w&f, and his response was, "I did not detect any wow or flutter in the listening tests. . . I did not hear anything that I would identify as wow and/or flutter in the Fluance turntable." In other words, it was inaudible to that reviewer, just like it is for me with the 'tables mentioned.
DIN released standards for home products that could be termed "high fidelity," and their expectation for speed accuracy was that it should be no more than 1% slow or 1.5% fast, and with w&f no more than 0.2%. Gramophone magazine considered these standards "quite respectable," but people can and do differ in their sensitivity to speed issues. My suggestion is that you audition your next turntable for audible speed problems before buying it, or at least have return options if it doesn't meet your expectations. Both Fluance and U-Turn, for example, have a 30-day in-home trial period; Fluance even pays the return shipping cost (if purchased directly from Fluance and you live within the contiguous USA and Canada).
One member here wrote of his U-Turn, "I am a musician. Pitch fluctuations are like nails on a chalkboard for me. Without arguing how it stacks up with any other products, I enjoy the performance of my U-turn Orbit Plus. It tracks well. Sounds great." It should be noted that the Orbit Plus ($289) comes with U-Turn's acrylic platter, which is supposed to offer "improved speed consistency and clearer, more detailed playback." Their specs show 0.175% w&f for the standard platter, reduced to 0.125% with the acrylic, so that latter value was good enough for at least one sensitive listener. My ears are more in agreement with what Fluance says, "To an extent, all turntable decks have wow and flutter—even if they’re new. Wow and flutter can be slight, too, and a lot of listeners can’t “pick up” on wow or flutter ranges up to .25 percent. Under this percentage, the sound distortion simply can’t be picked up by most."
The Fluance RT81 got a good review by What HiFi, their enthusiasm only tempered because, at least at the time of writing the review, its UK price was the same as competitors like the better-sounding Rega Planar 1. In the US, though, the Fluance is $249.99 while the Rega is $475.
https://www.whathifi.com/us/fluance/rt81/review