22C Half-point byes. For the convenience of the players, the director may allow half-point byes for missed rounds.
22C1 Availability. Half-point byes may be offered during the first half of the tournament or the middle round of a tournament with an odd number of rounds, with or without advance notice.
28K Late entrants. The director may accept and pair entrants after the announced closing time for registration, but late entrants shall forfeit any round missed if it is inconvenient or too late to pair the players for play, or may take a half-point bye (22C) if the tournament offers them for that round.
Note the words “if the tournament offers them for that round.”
You, the organizer and director should have already determined if the event offers the option, so that it can be applied equally to all.
The usual method of offering a half-point bye is in pre-tournament publicity. Though this is not required in 22C1, it is customary to do so.
However, a director is not required to give the half-point even if offered by the tournament. There is a difference between registering (on time) with a requested half-point and showing up late and expecting a half-point.
(There are cases when a half-point is available in round one and registration is still open (announced), those players come after the start of round 1 but are not “late” registrants as this option was announced in advance.)
For consistency it is my policy NOT to award a half-point bye for a late registrant. The registrant is LATE, why reward him/her with a half-point? In fact, I stress to the player that they are lucky that I allow them to enter at all. The registration time ended at X:00 and its only out of the “goodness of my heart” that I am allowing him/her to register with a loss forfeit (0 point bye) in round 1 (and 2…). {well… in actual fact, it is out of greed…. I want that player’s entry fee!}
But that is MY policy. Yours, or the organizer, may have a different policy, and still be within the guidelines of the rule.
By the way, regarding a House Player… Alex’s approach is absolutely correct. The house player should be paired with an approximate expected score (or slightly lower) so as not to cause a serious mismatch. These are not “byes” in the strict sense of the word, in that the player is not rewarded (elegible for prizes) based on that score.
Typically, though, I try to avoid using a house player who is likely to be in the top half of the tournament, as some of the top prize winners may be effected.
David