That's just not true, members can get tickets for most games.
edit: home games obviously.
If we don't get past Chelsea then we'll have played a total of 28 home games this season (29 if we reach the semis).
Out of the League home games, the matches against Liverpool, Tottenham, Arsenal, City, Bolton, Everton, Chelsea and Blackpool have sold out at the members ballot stage (or will sell out in the case of the Everton, Chelsea and Blackpool games) and therefore a number of members have been unable to obtain tickets from the club for those games. Ticket availability for the Fulham game was also very limited after the members ballot.
Tickets for the FA Cup home games against Liverpool and Arsenal also sold out in the members ballot. The same is the case for the Chelsea CL home game and availability for the Marseille match was very limited.
So for 13 out of 28 home games (14/29 if we reach the CL semis) it's correct to say that some members who wanted tickets for those games were either definitely unable to obtain a ticket for the game or were left with an extremely limited choice of where to sit.