I took a flight LIS-FRA on TAP with an LH flight number and LH from FRA-IAD on pure LH on Jan 29. After the usual "it will take a few weeks..." I was asked to fax the BPs to UA, about a month later. On repeated followup calls I've been told LH is taking longer than usual now to credit miles.
A second flight going to the Berlin DO on March 16 I was on LH FRA-TXL. Same story, faxed BP, no response from LH.
Consistent but hardly seamless.