A bolt without an ejector seems most useful in disciplines where single-feeding is required. I had my first couple F-TR rifles built with ejectors and DBM systems, but soon learned they were neither needed nor desirable. There are several reasons for this. First, we typically load long, heavy, high BC bullets, which end up far too long to ever run from a standard magazine. Second, picking up the brass in a timely manner after you have finished firing a string so the next shooter can set up their gear on the line is somewhat of a pain. Finally, if the ejector spring is of moderate strength (or greater), there is a tendency for the ejector to slam the cases against the side of the ejection port on their way out and put flat spots on the side of the neck. This requires extra effort to remove when processing the brass. Of course, one could simply remove the ejector and/or trim a coil or two off the spring, but that also requires extra effort and in the case of removing the ejector will leave a rather large, unsupported hole in the bolt face that may promote ejector marks on the brass.
In the grand scheme of things, either system (with or without ejector) can work with single feeding, it's merely that having the ejector in place is of no real benefit, and may increase wear and tear on the brass, and the amount of work required to process the brass. I still use those first two F-TR rifles in competition regularly, so it's not like having an ejector and/or a DBM system precludes their use in matches. However, I have learned to pull the bolt back very slowly and catch the brass before it hits the inside of the ejector port to minimize the number of cases with flat spots on the necks. Even though these are dedicated F-TR rifles, I have never felt compelled to actually remove the ejectors from the bolts. My suggestion if you already have an ejector would simply be to leave it alone, or as I mentioned previously, you could simply trim a turn or two off the ejector spring if too many cases are getting flat spots on the necks. I would still leave the ejector in place of you decide to go that route.
One additional item to consider if you ever decide to purchase an action without an ejector is a coned bolt face. After I figured out from the first couple rifles that the ejector was unnecessary, every F-TR rifle I've had built since then had no ejector and a coned bolt face. The coned bolt seems to help with single feeding and minimize the likelihood of having a round that was slightly misaligned in the action slam the meplat of the bullet into the action instead of smoothly feeding into the chamber upon closing the bolt.