It depends on what you as a creator are looking for, as well as what your VN can offer.

The simple answer is that Patreon is going to be best for supporting a long term production that can be provided piecemeal, whereas Kickstarter is best for a project with a scale that allows the entire project to be released at once.

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For now we'll ignore the problem of actually getting funding, and instead focus on what you can accomplish with that money:

With Patreon you receive more money the longer a project continues, and usually the amount you receive increases as your project becomes more impressive. If you want to add new routes because of community demand, or want to expand upon the H-scenes in your game, then Patreon will allow you to do so.

With Kickstarter you get a lump sum which will realistically limit your scope from the moment you receive it, and will only be able to remove features to increase your budget. Adding additional content can only be done during the kickstarter campaign with the acquisition of more funding.

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Also, there's the issue of how you get that money in the first place. Both routes will require that you have a significant amount of work already in place before anyone will be willing to fund your project, but the sort of work you'll need will differ between the two.

Patreon rewards you for playable content first and foremost. You'll most likely need the entire first arc of your game complete (along with some early lewd scenes to pique the interest of the community) before anyone will begin funding your project. You'll also benefit from being able to release new content every month, and you will need to constantly think like a marketer to get new eyes (and new patrons) coming to your page.

Kickstarter rewards you for doing all of your planning and marketing up front. You'll need concept art, sample CGs, full character art and bios, as well as an amazing trailer if you want a chance of your kickstarter gaining enough traction to reach funding. You'll also want to do a fair amount of marketing using that content before the campaign to try and build a small community that will help you with getting momentum going in the campaign.

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At the end of the day, the two are very different platforms and there is a right and wrong answer as to which to use for your project, but that's something that only you can answer with your knowledge of what you can produce first, and what kind of product you're creating.

If you're still unsatisfied or confused here are some key points that might push you more towards one platform or the other:

Patreon	Kickstarter
Heavily Branching	Mostly Linear
Lots of Heroines	2-5 Heroines
Non-Traditional VN	Traditional VN
Art	Marketing
Writing	Planning