What does this exchange of affectionate messages mean?

She’s expressing gratitude and reassurance, and he’s returning that same reassurance. Briefly:

• She: "Thanks for always showing love… I appreciate you" — gratitude + emotional appreciation.
• He: "I’ll always show you love… I gotchu" — promise of continued support and affection.
• She: "And that love will always be reciprocated… I gotchu too ALWAYS" — she promises to return the love and support; emphasises commitment.

Overall meaning: both people are affirming mutual love, care, and ongoing support. Tone is warm, committed, and reciprocal. If you’re wondering about relationship status or intent: this reads like two people who care for each other and want to continue being there for one another.