You can disagree for an eternity. The fact is, the meaning of the word "invest" is different from the meaning of the word "pay." The two words are not the same, do not mean the same, and you are equivocating them for the express and sole purpose of gratifying your conspicuous desire to cast aspersions on the business Hobby Lobby.
Furthermore, a private investor paying for X percentage of a company, which is to say they paid for stock in the company, is to invest in the company but it is not the equivalent of "paying" for a specific and particular product made by the company. So, for example, person X purchases stock/shares in the Coca Cola company. Person X paid for the stock/shares or person X pays for the stock/shares. Person X did not pay for a bottle of Coca Cola, neither did person X pay for a bottle of Coca Cola's sports drink, Powerade. What person X paid for, and pays for, is the stock/shares of Coca Cola, and they didn't pay/paid for a bottle of Powerade. The important distinction to be made is one does not come into possession of a bottle of Powerade on the mere basis of paying for stock/shares in the Coca Cola company, quite simply because one did not pay to receive or come into possession of a bottle of Powerade but rather they paid/pay to come into possession and receive stock/shares of Coca Cola.
This is why your position is fallacious. To equivocate paying for shares/stock in a company as equivalent to paying for a specific and particular product of the company is illogical. To suggest, as you do, Hobby Lobby pays for a particular contraceptive they object to when they pay for stock/shares in a company which makes, among other things, the objectionable contraceptive, as the equivalent of "we don't pay for drugs that might cause abortions" is illogical. In their statement, they are referring to the understanding of paying for a drug for their employees to possess, in other words they offer money, extend money and in exchange for the money they offer and present they receive/or someone receives on their behalf some specific good or property, in this instance birth control they find objectionable.
Similarly, when someone, anyway, says they "pay" for food, or they don't "pay" for junk food, they are referencing the understanding they are presenting money in exchange for some specific good/property, food, or they do not present money in direct exchange for some specific good/property, junk food. Hobby Lobby investing in a company means they pay, offer money, in exchange for a specific good/property in return, the stock/shares of the company. As a result, under these facts, it is illogical to suggest they are or have pay/paying/paid for the products made by the company. They aren't presenting money in exchange for the specific and particular products made by the company but rather they are paying to receive company stock/shares.
As a result, your allegation Hobby Lobby's statement is false when they say they do not "pay" for drugs is not supported by your reasoning or the facts, much less the meaning of the two words "invest" and "pay."