Yes, it does matter. Travel ball coaches will be a very important conduit to the college coaches. Especially when your players are in that underclass range that cannot have direct contact. College coaches will contact the travel coach to talk to your player. There are a lot of updates and player feedback questions that take place during those conversations. Son's high school and travel ball coach were positively instrumental in his recruiting process.
Also, don't forget the post recruiting process. This is not really talked about as much, but college coaches will continue to watch your player to see how they are developing on the field and will likely be in at least semi-regular contact with his coaches to make sure he is working after the offer. Sons coach is very clear on a verbal commitment being a great accomplishment and also just the beginning of the hard work. Again, where the travel ball Coach having a solid reputation is important. Personally know if a team that is very successful, but players are not as actively recruited bc the coach does not have a good reputation with college coaches and has limited contacts.
Something else to consider. Look at where players in the program commit. Are they colleges your player would be interested in attending? Are there patterns? For example, have a majority of players committed to only a handful of programs and/or are those the only programs reaching out to your player? Might mean a coach has limited contacts. If they are contacts at schools your player is interested in that is not a big deal. If not, it does not mean your son won't get an offer from somewhere else, just that the relationship and feedback from the travel coach might not open the same doors as another program.