In legal disputes, sometimes the money and being in the right, and not setting the wrong kind of precedent, are the most important. At other times the weight lies more with the quickest or least painful strategy to get the matter dealt with and, if possible, return to peace. Therefore, for any such situation, it's always worth working out for yourself (and only you can know this) how much each route will cost you: in time, in effort, in nerves, in the relationship (which latter, in your case, will be ongoing) and of course in Francs.
Hope you find a good solution!
Art. 741 ZGB
1 The beneficiary is responsible for maintaining any fixtures required for the exercise of an easement.
2 If the fixture also serves the interests of the servient owner, both parties are responsible for its maintenance in proportion to their interests. An alternative arrangement is binding on the acquirer of the dominant and the acquirer of the servient property if there is proof thereof in the land register.
https://www.fedlex.admin.ch/eli/cc/2...233/en#art_741
And my advice is: do get legal insurance (lawyers fees can get expensive - trust me ;-) and also most legal insurance will also cover court costs (and also the compensation of the lawyers' fees of the other side if you should lose a case). There is nothing more galling than losing a case and also having to pay the other's sides legal fees on top of your own.