United has already done a "roll-back" and it matches what people having been noting in the BE thread on FT (which this perhaps ought to be moved to). As the presentation by Levy says:

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New product was rolled out broadly in domestic system at the end of May
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However, we underappreciated that incremental revenue from buy-up would be more than offset by share loss to legacy carriers without similar Basic Economy offering
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We have adjusted our approach by:
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Scaling back breadth of offering to a portion of our domestic network
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Offering Basic Economy only in the bottom five fare classes instead of entire fare ladder
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Varying buy-up levels depending on competitive landscape

United still have the worst/crappiest/most "stick it to elites" version of BE, they are just now not offering it on some flights, and not ever doing it above the bottom 5 fare buckets. Still not competitive, still bull headed and bad decisions, just not quite as bad.