The default heuristics for commercial solvers are actually pretty darned good these days and there's typically no need to hand-pick them.
In the MIP world, they are the secret sauce to fast solution times.
Hyperparameter tuning has been studied for MIPs (many papers written on this), but ultimately they are black box solutions. My experience inclines me to not even consider hyperparameters except as a last resort or unless you know something specific that a hyperparameter can exploit; there are other more high leverage things than can be done.
Random perturbations to the problem have been found to be much more fruitful for forcing a diversity of branch traversal paths and have lead to significant speedups. (M. Fischetti popularized this idea in 2010s [2])
[1] https://resources.mpi-inf.mpg.de/conferences/adfocs-03/Slide... Also: http://transp-or.epfl.ch/zinal/2017/slides/group5.pdf
[2] https://mat.tepper.cmu.edu/blog/index.php/2012/09/25/fischet...
What I meant is that in the case if your problem is formulated in a way that the CPLEX and Gurobi cannot treat it (e.g., stochastic and multiobjective) and is not very large-scale, then one can use heuristics. However, the efficiency of the latter will likely depend on hyperparameter settings which need to be set properly.
Ah makes sense... stochastic and multiobjective formulations have superstructures that are not exploited by MIP solvers by default, so hyperparameter tuning might be useful. Creating (exact) heuristics for these superstructures are also an active area of research.
Some solvers like CPLEX are starting to natively support higher level structures like Benders decompositions [1], but they will never support every structural variation.
[1] Benders: https://www.ibm.com/support/knowledgecenter/en/SSSA5P_12.7.0...