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This falls back on my original answer:
The servient estate (the neighbor) cannot stop the dominant estate (i.e. you) from exercising the easement provided that the dominant estate (i.e. you) does not abuse the easement.
Abuse is subjective, but generally means using the easement beyond what it was intended to be used for, and/or, changing/damaging the land beyond the need of the original easement's intent.
Provided that someone in your situation is using the easement for repair and maintenance, and nothing else and/or are not abusing the easement somehow by - say - using it for BBQ cookouts, then they should not be able to stop you.
If they do try to prevent access, they may be sued.
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