No disrespect intended, but my experiences with modelers in other fields is that they tend to believe their models, even the ones that turn out to be incorrect with later information.
At this point in my understanding of physics and math, it seems to me that the cosmology modelers and the subatomic physics modelers are taking great liberties with the uses of "fields" that they really cannot define in terms that most people recognize as real.
We do seem to find wavelike behaviors, but we really do not understand how waves could propagate in "nothing". So, "fields" are the "something" that theorists provide for the waves to propagate in. But, then, the things that we think exist physically are theorized to be only waves in these fields. That really turns the concept in its head, compared to what engineers would call a "field" - which is a set of measured influences distributed in space due to something that is defined as their cause, such as a positive charge on a metal ball creating a spatial distribution of voltage potentials that can be measured. But, the physicists claim that there is always a field, everywhere, and something with a charge on it is itself only a perturbation in the field - and other types of fields that are "coupled".
This seems like a regression from the realization that light waves do not propagate through an "ether" that we can measure our velocity through. Yes, Special Relativity Theory effectively mathematically models changes in measured lengths and time intervals that prevent any measurement of a velocity through an "ether", if one exists. So, a "field" can be such a medium for wave propagation. But it is a concept, not a measure entity.
So, when you say that the Higgs Field was "discovered", I take that to mean when it was conceptualized. Making a model fit something is not really a proof that the model is correct if there are unconstrained parameters in the model that can be arbitrarily modified to make it fit observations. I do see that there are efforts to deduce constraints.
But, the whole theory development process seems to be focused on trying to backwards extrapolate the observation, that the universe is expanding, back to the time when it would all have been in a single point. Considering how little we really can observe past 13 billion years ago, it seems like there should also be some effort put into thinking about what the possibilities are for that extrapolation to become unrealistic well before the time when the whole universe was smaller than an atom.
If we can accept theories about a process called "inflation" that we cannot explain other than it provides a concept that makes an otherwise unworkable model seem to work, I think we could dream-up other unexplainable processes that would result in all sorts of cyclic behaviors of our universe, if that was the goal instead of creating a model that fits the concept of starting from a single point.