Murasaki’s kit pairs remarkably elegantly with double-Castoria teams. Castoria/Castoria/Tamamo is the best setup you can run for pushing damage, but it introduces some RNG to looping, as Murasaki will need an Arts crit each turn to loop. As a result, a secondary 50% charger (Waver or Reines) may be preferable to help push Murasaki towards repeat NPs if she gets caught with Quicks or misses a crit.
Even outside of absolute top-end teams, though, Murasaki slots nicely into a range of Arts setups. She has a ton of NP delay, which makes her a strong point Servant in more classic Arts shells (Merlin/Tamamo, anything with Jeanne, etc). Her high hit-counts, easy crit access, and ability to push party damage also make her a particularly good partner for Sherlock and Lanling, as Murasaki can take advantage of their crit buffs while also letting them hit for good damage themselves.
The big catch for Murasaki is that if she’s fighting more than one enemy (or anything debuff-immune) her value drops tremendously. Ryouma and Mandricardo both rely on buffs rather than debuffs, which means they can switch targets without a loss of damage. This can matter in CQs where, for example, the gimmick encourages taking out enemies in a particular order (to remove damage resistance buffs from the primary target, for instance). Murasaki really wants to be able to focus on just one target—when she can do this, she’s hugely flexible and valuable, but when she can’t she drops off.
The Black Grail is always the best damage pick, especially for modern Arts Servants. That said, Murasaki’s looping is a little tight even with double Castoria, so if you can get away with dealing less damage, 50% charge CEs like Holy Night Supper (for damage) or Painting Summer (for easier loopage) can be more reliable picks. Sign of Smiling Face strikes a nice balance between the two approaches, providing more damage than the starting NP CEs while also loosening Murasaki’s looping conditions some.