I've been doing some benchmarking of QLever and other SPARQL engines on Wikidata.
The first part was comparison between Blazegraph, MillenniumDB, QLever, and Virtuoso. QLever was fastest.
The second part is estimating how much QLever (and maybe other engines) might slow down as Wikidata becomes larger. Initial indications is that the slowdown is only moderate.
But this work mostly uses query sets that are derived from old WDQS logs. I did create a new benchmark from Scholia queries, but that's only a small subset of the current WDQS queries.
Is it possible to get access to some current query logs? Ideally they would be anonymized the same way that some old logs were. See https://iccl.inf.tu-dresden.de/web/Wikidata_SPARQL_Logs/en for more information. Alternatively, I could do the anonymizing if I'm allowed access to the raw logs.
If the raw logs are turned over, this would be little work. If the logs are anonymized in-house, then it would be a moderate amount of work to obtain and run the anonymizing script.