I am sorry to hear that Universal's special diets recommended you only eat at table service. I can see how that would be frustrating and a cause for concern.
Disney's special diets stopped sending me their lists about 6 years ago. For the past several years I only receive their form letter about suppliers changing, etc and items couldn't be guaranteed ahead of time. I miss the days of their detailed special diets lists that included the product brands as it made meal planning so much easier!
During our 3 week August 2021 trip we ate mainly at WDW QS and only spoke with managers, aka their 'special diets trained cast members'. No chefs to be found at any QS in the parks or resorts to discuss allergy issues with us. We couldn't use the QS at the Beach Club where we were staying because of the lack of a trained allergy chef or cast member on-site. When I placed an order at lunch they had to go to another location to find a chef to make DD's sandwich (just turkey on allergy bread) which took about an hour. Due to mandatory mobile ordering in some places, cast members initially refused to let us in to Pecos Bills and Ronto Roasters to look at the allergy binders since we didn't place a mobile order first. There's no way to place a mobile order with the modifications we needed for DD. We had to plead our case for why we didn't use mobile ordering so we could be let through. Disney also has a 'cya' statement in the
MDE app that states they can't guarantee cross-contamination won't be an issue.
We have another trip to WDW and Universal next week. I am hoping our allergy experiences are better and Disney doesn't continue to have staff shortages so we can actually speak to chefs at QS.