Suppose we come to establish that the expansion rate accelerated from 68 to 73 km per second / Mpc (in the lapse of, say, 80% the ~14 B. years age of U.) if this is so, so be it. Why oppose it ?
Or, if for the same period, we have two different rates ... this is not acceleration. This is two methods yielding different results for what is supposed to be one sigle thing. So, one of the 2 methods doesn't measure exactly the same thing as the other ... whatever.
Obviously, observation and measurement have to be the basis for any hypothesis and for any explanation proposals. So, we should not say : "since we have no explanation, there should not be acceleration of the expansion". - - But rather we should say : "since there is acceleration of the expansion, we should build some theoretical models around this reality".
Anyway, you probably already know all of this.