No, as long as there are attacks and effects that have triggered but haven't finished resolving yet, the attack continues regardless of the memory gauge's current position
Though that combo isn't quick enough to make Enduring Tenacity more than a bit player in Standard, it's the kind of card that life-gain and life-drain decks in EDH love to play with, as it's effectively a second copy of Sanguine Bond (albeit cheaper and slightly more vulnerable to exile-based removal)
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Best of all, these cards could be pulled in the Reverse Holo slot, which increased the number of pulls that one could expect in a booster box
The deck includes a lot of Rush Characters to keep the pressure on your opponent together a number of evasive ones that can safely generate all the Lore you need in order to win