It depends on the amplifier topology and design, for example, many amplifiers that have output transformers or autoformers may output the same power at 4Ω, 8Ω and 16Ω and I've seen a few Class D designs also output similar wattages at different impedances.
But in general theory, many direct coupled or capacitor coupled Class AB amps I've come across will output ~ 50% power at 16Ω vs 8Ω. However, the difference between a 86dB speaker and a 101dB speaker is 15dB, corresponding to a ~32X power difference.
So even if your available power to the high sensitivity speaker is cut in half, the power requirement of the new speaker is cut by 32X and your new combination would be like having a 16 times more powerful amplifier!