Hmm . . . I do not have any experience of what you propose to do but I have thought it through, paused, re-read your proposal and thought again.
If I am understanding correctly, you intend to (essentially) have the telephone "line" connected to the existing wiring via the adaptor being plugged into the front of the NTE5/A. It should work . . . but perhaps a thought experiment is called for.
Let us imagine that you have your Gigaclear FTTP service installed and operational. Remove the lower front face-plate from the NTE5/A and then plug the adaptor into it, then plug the DECT base station & VOIP adaptor into the respective sockets. It
should then work. Why do I suggest unplugging the lower front face-plate from the NTE5/A? You do not want to have the loading of the capacitor - resistor pair from the NTE5/A nor
Beattie's metallic pathway across
your circuit.
Further thinking . . . Perhaps you should ask Gigaclear exactly what they provision for an install.
I imagine there would have to be an ONT (or media-converter). The typical ONT installed by
Beattie -- for example the
Huawei HG8240 (see image below) -- has two ports for telephony purposes to which the existing internal wiring cab be connected. You may find that Gigiaclear are already prepared to connect to existing internal telephony wiring.
I will certainly be interested to know what they would advise.