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We revisit the phenomenology of neutrinoless double beta ($0\nu\beta\beta$)decay mediated by non-interfering exchange of light and heavy Majorananeutrinos, in the context of current and prospective ton-scale experimentalsearches, as well as of recent calculations of nuclear matrix elements (NME) indifferent nuclear models. We derive joint upper bounds on the light and heavycontributions to $0\nu\beta\beta$ decay, for different sets of NME, throughseparate and combined data coming from the following experiments (andisotopes): KamLAND-Zen and EXO (Xe), GERDA, and MAJORANA (Ge) and CUORE (Te).We further consider three proposed projects that could provide, within currentbounds, possible $0\nu\beta\beta$ decay signals at $>\!3\sigma$ level with anexposure of 10 ton years: nEXO (Xe), LEGEND (Ge) and CUPID (Mo). Separate andcombined (Xe, Ge, Mo) signals are studied for different representative casesand NME sets, and the conditions leading to (non)degenerate light and heavyneutrino mechanisms are discussed. In particular, the role of heavy-to-lightNME ratios in different isotopes is highlighted through appropriate graphicalrepresentations. By using different sets of "true" and "test" NME as a proxyfor nuclear uncertainties, it is shown that the relative contributions of lightand heavy neutrino exchange to $0\nu\beta\beta$ signals may be significantlybiased in some cases. Implications for theoretical models connecting light andheavy Majorana neutrino masses are also briefly illustrated. These resultsprovide further motivations to improve NME calculations, so as to betterexploit the physics potential of future multi-isotope $0\nu\beta\beta$ searchesat the ton scale.

Interplay between non-interfering neutrino exchange mechanisms and nuclear matrix elements in $0\nu\beta\beta$ decay