Yes, but if you had a fighter using the old rules, and now you are using the new rules, your turns might take a bit longer because you have new options (i.e. playing shuffleboard with the orc). In fact, that's what happened with our group, because we started with the 2014 rules but have been adding the UA ones. And we've found that, for example, the barbarian's turns and monk's turns are definitely slower. Because they have more options. Which we've enjoyed.
I didn't think I was making a controversial point. Just reporting what we have experienced: slightly longer combats due to more stuff players can do. Which I presume is working as intended.
We haven't found much that speeds the game up, though certainly if we used a lot of summing spells that might be different. Most groups will have martial classes in them, though. Summoning spells are more of a niche improvement.