Which aggregate appears before...perception or feeling? Do you first feel the touch (pleasant, unpleasant or indifferent) or do you first identify it? Or is it all at the same time?
Is the order of aggregates always the same for all the senses?
The same terms are often used at a "microscopic-view" level, at a "day-to-day-view" level and at a "macro-view". This leads to a lot of confusion.

According to the Abhidhamma, feeling / sensation / experience (vedanā) and perception / recognition (saññā) arise simultaneously in every Thought Moment (cittakhaṇa). The Abhidhamma looks at things at a "microscopic-view" level.

The Suttas (MN 18 is an example) describe how sensing leads to thinking. At this "day-to-day-view" level, vedanā (part of the sensing process that is the same for everybody) leads to saññā (start of the thinking process; a subjective process influenced by latent defilements leading to distortion of perception).

The aggregates are a way of describing what constitutes a being (what a being is or what a being does). This is the "macro-view" level that describes the nature of existence. The aggregates do not have a sequence (they are not describing a process), so vedanākkhanda (feeling aggregate) and saññākkhanda (perception aggregate) arise simultaneously.