Notice what they say in that book/pamphlet:
Jehovah's people do not beg for money. They do not pass collection plates or send out letters of solicitation. Neither do they use bingo, bazaars, or raffles to raise money.
They are very specific about what they mean by 'beg.' They are not referring to any other approaches, such as videos about how they are facing shortfalls. Or instructions to congregations to send money each month. Or instructions to congregations to ask members to dedicate a specific amount each month as a donation.
In other words, there is a lot they can do to pressure the membership to donate more while still claiming that they do not "beg" or "solicit funds."